This calculator converts peak voltage to its equivalent root-mean-square (RMS) value
[CP_CALCULATED_FIELDS id=”436″]
Formula
VRMS = Vpp/(2√2)
or
VRMS = Vp/(√2)
Where
- Vpp is the peak to peak voltage
- Vp is the peak voltage
- VRMS is the RMS voltage
Example: Converting Peak Value to RMS
Suppose you have a peak voltage value of 200 V. The equivalent RMS value is 141.42 V.
Background
What Is RMS Value?
The Root Mean Square (RMS) value of a signal is a measure of the effective power or average amplitude of a varying signal, particularly AC signals. In the context of electrical circuits, the RMS value represents the equivalent DC value that would produce the same amount of power as the AC signal.
For a sinusoidal waveform, the RMS value is calculated by taking the square root of the average of the squares of all instantaneous values of the waveform over one cycle. It provides a meaningful representation of a varying signal’s power.
What Is Peak Value?
The Peak value of a signal is the maximum amplitude it reaches during one cycle. In the case of a sinusoidal waveform, the peak value represents the highest point the voltage or current reaches, either in the positive or negative direction.
For an AC signal, the peak value is higher than the RMS value, as the RMS calculation averages out the power over a complete cycle.